Apension fund manager decides to invest a total of at most $30 million in u. s. treasury bonds paying 6% annual interest and in mutual funds paying 9% annual interest. he plans to invest at least $5 million in bonds and at least $10 million in mutual funds. bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. the fund manager is allowed to spend no more than $5000 on fees. how much should be invested in each to maximize annual interest? what is the maximum annual interest?

Ummit record company is negotiating with two banks for a $157,000 loan. fidelity bank requires a compensating balance of 24 percent, discounts the loan, and wants to be paid back in four quarterly payments. southwest bank requires a compensating balance of 12 percent, does not discount the loan, but wants to be paid back in 12 monthly installments. the stated rate for both banks is 9 percent. compensating balances will be subtracted from the $157,000 in determining the available funds in part a. a-1. calculate the effective interest rate for fidelity bank and southwest bank. (do not round intermediate calculations. input your answers as a percent rounded to 2 decimal places.) a-2. which loan should summit accept? southwest bank fidelity bank b. recompute the effective cost of interest, assuming that summit ordinarily maintains $37,680 at each bank in deposits that will serve as compensating balances

On average, someone with a bachelor's degree is estimated to earn times more than someone with a high school diploma. a)1.2 b)1.4 c)1.6 d)1.8

Under t, the point (0,2) gets mapped to (3,0). t-1 (x, y) →